Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 385, 570, 514, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 570, 514, 568 is 1
GCD(385, 570, 514, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 570, 514, 568 is 1
GCD(385, 570, 514, 568) = 1
Given Input numbers are 385, 570, 514, 568
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 385, 570, 514, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 570, 514, 568 is 1.
Therefore, GCD of numbers 385, 570, 514, 568 is 1
Given Input Data is 385, 570, 514, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 514 is 2 x 257
Prime Factorization of 568 is 2 x 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(385, 570) = 43890
GCD(385, 570) = ( 385 x 570 ) / 43890
GCD(385, 570) = 219450 / 43890
GCD(385, 570) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 514) = 2570
GCD(5, 514) = ( 5 x 514 ) / 2570
GCD(5, 514) = 2570 / 2570
GCD(5, 514) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 385, 570, 514, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 570, 514, 568?
GCD of 385, 570, 514, 568 is 1
2. Where do I get the detailed procedure to find GCD of 385, 570, 514, 568?
You can find a detailed procedure to find GCD of 385, 570, 514, 568 on our page.
3. How to find GCD of 385, 570, 514, 568 on a calculator?
You can find the GCD of 385, 570, 514, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.